Seminár z kvalitatívnej teórie diferenciálnych rovníc

Seminar on Qualitative Theory of Differential Equations

Thursday 22.3.2018 at 14:00 Lecture room M-223

Marek Fila (KAMŠ FMFI UK):

A Gagliardo-Nirenberg-type inequality and its applications

to decay estimates for solutions of a degenerate parabolic equation

Abstract:

We discuss a Gagliardo-Nirenberg-type inequality for functions with fast decay.

We use this inequality to derive upper bounds for the decay rates of solutions

of a degenerate parabolic equation. Moreover, we show that these upper bounds,

hence also the Gagliardo-Nirenberg-type inequality, are sharp in an appropriate sense.

This is a joint work with Michael Winkler.